“Some Remarkable Properties of Sinc and Related Integrals”, David Borwein, Jonathan M. Borwein2001-03 (STEM humor, epistemology; backlinks)⁠:

Using Fourier transform techniques, we establish inequalities for integrals of the form

$${\int }_0^{\infty }\prod _{k=0}^n\frac{\sin (a_{k}x{)}^{}}{a_{k}x}dx$$

We then give quite striking closed form evaluations of such integrals and finish by discussing various extensions and applications.

[Keywords: sinc integrals, Fourier transforms, convolution, Parseval’s theorem]

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